Energy absorption and deformation characteristics of eight SLS-manufactured PA12 lattice structures under an intermediate compressive load rate
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Osama Abdelaal
Dr. Osama Abdelaal is an Associate Professor in the Mechanical Design and Production Engineering Department at Assiut University, Egypt, and also serves as an Assistant Professor at Majmaah University, Saudi Arabia. He holds a PhD in Industrial Engineering and Systems Management from the Egypt-Japan University of Science and Technology (E-JUST) in collaboration with the Tokyo Institute of Technology, Japan. His research focuses on tribology, additive manufacturing, computational modeling, and materials characterization, with a particular interest in functionally graded metamaterials, tissue engineering, biomedical implants, and customized prosthetics design.
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Saleh Aldahash
Dr. Saleh Aldahash is the dean of the College of Engineering, Majmaah University in Saudi Arabia (2019 – Present). Dr. Aldahash earned his PhD in Manufacturing Engineering from Cardiff University, UK (2011), focusing on rapid manufacturing techniques. He holds an M.Sc. in Computer Integrated Manufacturing and Management from Huddersfield University, UK (2006). Dr. Aldahash is a leading researcher in additive manufacturing, selective laser sintering (SLS), and advanced material processing, with multiple publications in top-tier journals. His research explores customized prosthetics, the mechanical properties of SLS-manufactured materials, and quality optimization in industrial processes.
Abstract
The mechanical response of additively manufactured (AM) lattice structures (LSs) under intermediate loading rates is crucial for real-world applications involving loading rates between quasi-static and high-speed impacts. Testing AM LSs in this regime ensures that the mechanical response aligns with operational conditions. Furthermore, powder entrapment within AM-processed LSs can change their effective porosity, consequently changing their targeted properties. This research aims to investigate the effects of an intermediate load rate and entrapped powder on the compressive behaviour and energy absorption characteristics of four strut-based LSs, namely, BCC, IsoTruss, Octet, and Diamond, and four sheet-based triply periodic minimal surfaces (TPMS) LSs, namely, Schwarz Primitive, Gyroid, Schwarz Diamond, and Split-P, manufactured by SLS from PA12 powder. Strut-based LSs exhibited minimal powder entrapment, while TPMS LSs had increased density from excessive trapped powder. Under intermediate loading, the strut-based lattices, except for IsoTruss, failed catastrophically. In contrast, imperfectly cleaned TPMS LSs exhibited remarkable stiffness, and higher compressive plasticity resulted in high load absorption capacity under intermediate load as the entrapped powder worked as a secondary control of energy storage and stiffness. These findings provide valuable insights into the impact of intermediate loading and entrapped powder on the energy absorption characteristics of SLSed PA12 LSs.
Funding source: Majmaah University
Award Identifier / Grant number: R-2025-2028
About the authors
Dr. Osama Abdelaal is an Associate Professor in the Mechanical Design and Production Engineering Department at Assiut University, Egypt, and also serves as an Assistant Professor at Majmaah University, Saudi Arabia. He holds a PhD in Industrial Engineering and Systems Management from the Egypt-Japan University of Science and Technology (E-JUST) in collaboration with the Tokyo Institute of Technology, Japan. His research focuses on tribology, additive manufacturing, computational modeling, and materials characterization, with a particular interest in functionally graded metamaterials, tissue engineering, biomedical implants, and customized prosthetics design.
Dr. Saleh Aldahash is the dean of the College of Engineering, Majmaah University in Saudi Arabia (2019 – Present). Dr. Aldahash earned his PhD in Manufacturing Engineering from Cardiff University, UK (2011), focusing on rapid manufacturing techniques. He holds an M.Sc. in Computer Integrated Manufacturing and Management from Huddersfield University, UK (2006). Dr. Aldahash is a leading researcher in additive manufacturing, selective laser sintering (SLS), and advanced material processing, with multiple publications in top-tier journals. His research explores customized prosthetics, the mechanical properties of SLS-manufactured materials, and quality optimization in industrial processes.
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Research ethics: Not applicable.
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Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.
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Competing interests: The authors states no conflict of interest.
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Research funding: The author extends the appreciation to the Deanship of Postgraduate Studies and Scientific Research at Majmaah University for funding this research work through the project number (R-2025-2028).
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Data availability: Not applicable.
References
[1] L. J. Gibson and M. F. Ashby, Cellular Solids: Structure and Properties, 2nd ed., Cambridge, Cambridge University Press, 1997.10.1017/CBO9781139878326Search in Google Scholar
[2] M. Taşçı, M. U. Erdaş, M. Kopar, B. S. Yıldız, and A. R. Yıldız, “Optimum design of additively manufactured aerospace components with different lattice structures,” Mater. Test., vol. 66, no. 6, pp. 876–882, 2024, https://doi.org/10.1515/mt-2023-0364.Search in Google Scholar
[3] E. Cuan-Urquizo and R. G. Silva, “Fused filament fabrication of cellular, lattice and porous mechanical metamaterials: a review,” Virtual Phys. Prototyp., vol. 18, no. 1, p. e2224300, 2023, https://doi.org/10.1080/17452759.2023.2224300.Search in Google Scholar
[4] Y. Li, D. Jiang, R. Zhao, X. Wang, L. Wang, and L.-C. Zhang, “High mechanical performance of lattice structures fabricated by additive manufacturing,” Metals (Basel), vol. 14, no. 10, p. 1165, 2024, https://doi.org/10.3390/met14101165.Search in Google Scholar
[5] B. Aslan and A. R. Yıldız, “Optimum design of automobile components using lattice structures for additive manufacturing,” Mater. Test., vol. 62, no. 6, pp. 633–639, 2020, https://doi.org/10.3139/120.111527.Search in Google Scholar
[6] R. Miralbes, S. Higuera, D. Ranz, and J. A. Gomez, “Comparative analysis of mechanical properties and energy absorption capabilities of functionally graded and non-graded thermoplastic sheet gyroid structures,” Mech. Adv. Mater. Struct., vol. 29, no. 26, pp. 5142–5155, 2022, https://doi.org/10.1080/15376494.2021.1949509.Search in Google Scholar
[7] I. R. Woodward, L. Attia, P. Patel, and C. A. Fromen, “Scalable 3D-printed lattices for pressure control in fluid applications,” AIChE J., vol. 67, no. 12, 2021, https://doi.org/10.1002/aic.17452.Search in Google Scholar PubMed PubMed Central
[8] I. Pellejero, et al.., “Functionalization of 3D printed ABS filters with MOF for toxic gas removal,” Functionalization of 3D printed ABS filters with MOF for toxic gas removal, vol. 89, pp. 194–203, 2020, https://doi.org/10.1016/j.jiec.2020.05.013.Search in Google Scholar
[9] E. Savran, O. C. Kalay, N. B. Alp, and F. Karpat, “Design and analysis of lattice structure applied humerus semi-prosthesis,” Mater. Test., vol. 65, no. 7, pp. 1039–1055, 2023, https://doi.org/10.1515/mt-2022-0408.Search in Google Scholar
[10] X. Li, S. Ding, X. Wang, S. L. A. Tan, and W. Zhai, “Recipe for simultaneously achieving customizable sound absorption and mechanical properties in lattice structures,” Adv. Mater. Technol., vol. 10, no. 4, p. 2400517, 2025, https://doi.org/10.1002/admt.202400517.Search in Google Scholar
[11] P. Singh, Y. Aider, M. S. Phanikumar, and R. L. Mahajan, “Experimental study on flow and thermal transport in additively manufactured lattices based on cube-shaped unit cell,” ASME J. Heat Mass Tran., vol. 147, no. 2, 2024, https://doi.org/10.1115/1.4066775.Search in Google Scholar
[12] W. Elmadih, W. P. Syam, I. Maskery, D. Chronopoulos, and R. Leach, “Mechanical vibration bandgaps in surface-based lattices,” Addit. Manuf., vol. 25, pp. 421–429, 2019, https://doi.org/10.1016/j.addma.2018.11.011.Search in Google Scholar
[13] O. Abdelaal, F. Hengsbach, M. Schaper, and K. P. Hoyer, “LPBF manufactured functionally graded lattice structures obtained by graded density and hybrid poisson’s ratio,” Materials, vol. 15, no. 12, 2022, https://doi.org/10.3390/ma15124072.Search in Google Scholar PubMed PubMed Central
[14] R. Santiago, et al.., “Mechanical characterization and numerical modeling of TPMS lattice structures subjected to impact loading,” EPJ Web. Conf., vol. 250, p. 02005, 2021, https://doi.org/10.1051/epjconf/202125002005.Search in Google Scholar
[15] A. M. Abou-Ali, D.-W. Lee, and R. K. Abu Al-Rub, “On the effect of lattice topology on mechanical properties of SLS additively manufactured sheet-ligament-and strut-based polymeric metamaterials,” Polymers (Basel), vol. 14, no. 21, 2022, https://doi.org/10.3390/polym14214583.Search in Google Scholar PubMed PubMed Central
[16] L. Zhang, et al.., “Energy absorption characteristics of metallic triply periodic minimal surface sheet structures under compressive loading,” Addit. Manuf., vol. 23, pp. 505–515, 2018, https://doi.org/10.1016/j.addma.2018.08.007.Search in Google Scholar
[17] L. Cobian, et al.., “Micromechanical characterization of the material response in a PA12-SLS fabricated lattice structure and its correlation with bulk behavior,” Polym. Test., vol. 110, 2022, https://doi.org/10.1016/j.polymertesting.2022.107556.Search in Google Scholar
[18] F. Neugebauer, N. Müller, V. Ploshikhin, S. Thiel, J. Ambrosy, and G. Witt, “Temperature effects on tensile properties of laser sintered polyamide 12,” Mater. Test., vol. 57, nos. 7–8, pp. 602–608, 2015, https://doi.org/10.3139/120.110756.Search in Google Scholar
[19] C. Bhat, M. J. Prajapati, A. Kumar, and J.-Y. Jeng, “Additive manufacturing-enabled advanced design and process strategies for multi-functional lattice structures,” Materials, vol. 17, no. 14, 2024, https://doi.org/10.3390/ma17143398.Search in Google Scholar PubMed PubMed Central
[20] M. F. Ashby, “The properties of foams and lattices,” Philos. Trans. R. Soc. A: Math. Phys. Eng. Sci., vol. 364, no. 1838, pp. 15–30, 2006, https://doi.org/10.1098/rsta.2005.1678.Search in Google Scholar PubMed
[21] D. Su, J. Yang, S. Liu, L. Ren, and S. Qin, “Preparation of polyamide 12 powder for additive manufacturing applications via thermally induced phase separation,” E-Polymers, vol. 22, no. 1, pp. 553–565, 2022, https://doi.org/10.1515/epoly-2022-0050.Search in Google Scholar
[22] T. Wu, et al.., “Tensile strength and wear resistance of glass-reinforced PA1212 fabricated by selective laser sintering,” Virtual Phys. Prototyp., vol. 18, no. 1, 2023, https://doi.org/10.1080/17452759.2022.2150652.Search in Google Scholar
[23] A. Salazar, A. Rico, J. Rodríguez, J. Segurado Escudero, R. Seltzer, and F. Martin de la Escalera Cutillas, “Fatigue crack growth of SLS polyamide 12: effect of reinforcement and temperature,” Compos. B. Eng., vol. 59, pp. 285–292, 2014, https://doi.org/10.1016/j.compositesb.2013.12.017.Search in Google Scholar
[24] X. Yang, Y. Wei, S. Xi, Y. Huang, M. Kong, and G. Li, “Preparation of spherical polymer powders for selective laser sintering from immiscible PA12/PEO blends with high viscosity ratios,” Polymer (Guildf), vol. 172, pp. 58–65, 2019, https://doi.org/10.1016/j.polymer.2019.03.066.Search in Google Scholar
[25] M. Vesenjak, L. Krstulović-Opara, Z. Ren, and Ž. Domazet, “Cell shape effect evaluation of polyamide cellular structures,” Polym. Test., vol. 29, no. 8, pp. 991–994, 2010, https://doi.org/10.1016/j.polymertesting.2010.09.001.Search in Google Scholar
[26] S. Gümüs, et al., “Failure behavior of PA12 based SLS lattice structure with macro-porosity,” in MATEC Web of Conferences, EDP Sciences, 2018.10.1051/matecconf/201818803007Search in Google Scholar
[27] C. Neff, N. Hopkinson, and N. B. Crane, “Experimental and analytical investigation of mechanical behavior of laser-sintered diamond-lattice structures,” Addit. Manuf., vol. 22, pp. 807–816, 2018, https://doi.org/10.1016/j.addma.2018.07.005.Search in Google Scholar
[28] S. Yuan, C. K. Chua, and K. Zhou, “3D-Printed mechanical metamaterials with high energy absorption,” Adv. Mater. Technol., vol. 4, no. 3, 2019, https://doi.org/10.1002/admt.201800419.Search in Google Scholar
[29] R. Prithvirajan, C. Balakumar, and G. Arumaikkannu, “Effect of strut diameter on compressive behaviour of selective laser sintered polyamide rhombic dodecahedron lattice,” in Materials Today: Proceedings, Elsevier Ltd, 2019, pp. 4482–4486.10.1016/j.matpr.2020.09.684Search in Google Scholar
[30] J. Schneider and S. Kumar, “Multiscale characterization and constitutive parameters identification of polyamide (PA12) processed via selective laser sintering,” Polym. Test., vol. 86, no. Jun, 2020, https://doi.org/10.1016/j.polymertesting.2020.106357.Search in Google Scholar
[31] N. Kladovasilakis, K. Tsongas, I. Kostavelis, D. Tzovaras, and D. Tzetzis, “Effective mechanical properties of additive manufactured strut-lattice structures: experimental and finite element study,” Adv. Eng. Mater., vol. 24, no. 3, 2022, https://doi.org/10.1002/adem.202100879.Search in Google Scholar
[32] S. Ghaemi Khiavi, B. Mohammad Sadeghi, and M. Divandari, “Effect of topology on strength and energy absorption of PA12 non-auxetic strut-based lattice structures,” J. Mater. Res. Technol., vol. 21, pp. 1595–1613, 2022, https://doi.org/10.1016/j.jmrt.2022.09.116.Search in Google Scholar
[33] M. Amirpour and M. Battley, “Study of manufacturing defects on compressive deformation of 3D-printed polymeric lattices,” Int. J. Adv. Manuf. Technol., vol. 122, nos. 5–6, pp. 2561–2576, 2022, https://doi.org/10.1007/s00170-022-10062-0.Search in Google Scholar
[34] D. Bruson, M. Galati, F. Calignano, and L. Iuliano, “Mechanical characterisation and simulation of the tensile behaviour of polymeric additively manufactured lattice structures,” Exp. Mech., vol. 63, no. 7, pp. 1117–1133, 2023, https://doi.org/10.1007/s11340-023-00976-5.Search in Google Scholar
[35] D. W. Abueidda, M. Elhebeary, C. S. (Andrew) Shiang, S. Pang, R. K. Abu Al-Rub, and I. M. Jasiuk, “Mechanical properties of 3D printed polymeric gyroid cellular structures: experimental and finite element study,” Mater. Des., vol. 165, 2019, https://doi.org/10.1016/j.matdes.2019.107597.Search in Google Scholar
[36] H. Jia, et al.., “An experimental and numerical investigation of compressive response of designed schwarz primitive triply periodic minimal surface with non-uniform shell thickness,” Extreme Mech. Lett., vol. 37, 2020, https://doi.org/10.1016/j.eml.2020.100671.Search in Google Scholar
[37] N. Kladovasilakis, K. Tsongas, I. Kostavelis, D. Tzovaras, and D. Tzetzis, “Effective mechanical properties of additive manufactured triply periodic minimal surfaces: experimental and finite element study,” Int. J. Adv. Des. Manuf. Technol., vol. 121, no. 11, pp. 7169–7189, 2022, https://doi.org/10.1007/s00170-022-09651-w.Search in Google Scholar
[38] V. Shevchenko, S. Balabanov, M. Sychov, and L. Karimova, “Prediction of cellular structure mechanical properties with the geometry of triply periodic minimal surfaces (TPMS),” ACS Omega, vol. 8, no. 30, pp. 26895–26905, 2023, https://doi.org/10.1021/acsomega.3c01631.Search in Google Scholar PubMed PubMed Central
[39] J. Schneider and S. Kumar, “Comparative performance evaluation of microarchitected lattices processed via SLS, MJ, and DLP 3D printing methods: experimental investigation and modelling,” J. Mater. Res. Technol., vol. 26, pp. 7182–7198, 2023, https://doi.org/10.1016/j.jmrt.2023.09.061.Search in Google Scholar
[40] F. Teixeira, Mechanical Behavior of PA12 Lattice Structures Produced by SLS, University of Minho, 2021. https://repositorium.uminho.pt/browse?type=author&value=Teixeira%2C+Francisco+Tom%C3%A9+Ferreira&value_lang=por [Accessed: Feb. 16, 2025].Search in Google Scholar
[41] M. K. Kandasamy, A. Ganesan, and L. Srinivasan, “Influence of relative density and strain rate on mechanical behavior and energy absorption of additively manufactured lattice structure,” Trans. Indian Inst. Met., vol. 76, no. 2, pp. 505–510, 2023, https://doi.org/10.1007/s12666-022-02780-6.Search in Google Scholar
[42] Y. Zeng, X. Du, H. Yao, P. Li, P. Dong, and J. Chen, “An nylon lattice structure with improved mechanical property and energy absorption capability,” Compos. Part C: Open Access, vol. 8, 2022, https://doi.org/10.1016/j.jcomc.2022.100285.Search in Google Scholar
[43] S. G. Kang, et al.., “Green laser powder bed fusion based fabrication and rate-dependent mechanical properties of copper lattices,” Mater. Des., vol. 231, 2023, https://doi.org/10.1016/j.matdes.2023.112023.Search in Google Scholar
[44] S. E. Alkhatib, S. Xu, G. Lu, A. Karrech, and T. B. Sercombe, “Rate-dependent behaviour of additively manufactured topology optimised lattice structures,” Thin-Walled Struct., vol. 198, 2024, https://doi.org/10.1016/j.tws.2024.111710.Search in Google Scholar
[45] C. Bhat, A. Kumar, S.-C. Lin, and J.-Y. Jeng, “Design, fabrication, and properties evaluation of novel nested lattice structures,” Addit. Manuf., vol. 68, p. 103510, 2023, https://doi.org/10.1016/j.addma.2023.103510.Search in Google Scholar
[46] L. Cobian, et al.., “Effect of sample dimensions on the stiffness of PA12 lattice materials fabricated using powder bed fusion,” Addit. Manuf., vol. 93, p. 104382, 2024, https://doi.org/10.1016/j.addma.2024.104382.Search in Google Scholar
[47] O. Al-Ketan and R. K. Abu Al-Rub, “Multifunctional mechanical metamaterials based on triply periodic minimal surface lattices,” Adv. Eng. Mater., vol. 21, no. 10, p. 1900524, 2019, https://doi.org/10.1002/adem.201900524.Search in Google Scholar
[48] C. Ling, A. Cernicchi, M. D. Gilchrist, and P. Cardiff, “Mechanical behaviour of additively-manufactured polymeric octet-truss lattice structures under quasi-static and dynamic compressive loading,” Mater. Des., vol. 162, pp. 106–118, 2019, https://doi.org/10.1016/j.matdes.2018.11.035.Search in Google Scholar
[49] Y. Li, H. Gu, M. Pavier, and H. Coules, “Compressive behaviours of octet-truss lattices,” Proc. Inst. Mech. Eng. C. J. Mech. Eng. Sci., vol. 234, no. 16, pp. 3257–3269, 2020, https://doi.org/10.1177/0954406220913586.Search in Google Scholar
[50] X. Y. Chen and H. F. Tan, “An effective length model for octet lattice,” Int. J. Mech. Sci., vol. 140, pp. 279–287, 2018, https://doi.org/10.1016/j.ijmecsci.2018.03.016.Search in Google Scholar
[51] M. R. Khosravani, S. Bieler, K. Weinberg, and T. Reinicke, “Mechanical fracture of lattice structures fabricated by selective laser sintering,” Arch. Civ. Mech. Eng., vol. 25, no. 2, 2025, https://doi.org/10.1007/s43452-025-01149-y.Search in Google Scholar
[52] I. Maskery, et al.., “Insights into the mechanical properties of several triply periodic minimal surface lattice structures made by polymer additive manufacturing,” Polymer (Guildf), vol. 152, pp. 62–71, 2018, https://doi.org/10.1016/j.polymer.2017.11.049.Search in Google Scholar
[53] B. Sokollu, O. Gulcan, and E. I. Konukseven, “Mechanical properties comparison of strut-based and triply periodic minimal surface lattice structures produced by electron beam melting,” Addit. Manuf., vol. 60, p. 103199, 2022, https://doi.org/10.1016/j.addma.2022.103199.Search in Google Scholar
[54] Q. Sun, J. Sun, K. Guo, and L. Wang, “Compressive mechanical properties and energy absorption characteristics of SLM fabricated Ti6Al4V triply periodic minimal surface cellular structures,” Mech. Mater., vol. 166, p. 104241, 2022, https://doi.org/10.1016/j.mechmat.2022.104241.Search in Google Scholar
[55] Y. Lyu, T. Gong, T. He, H. Wang, M. Zhuravkov, and Y. Xia, “Study on the energy absorption performance of triply periodic minimal surface (TPMS) structures at different load-bearing angles,” Biomimetics, vol. 9, no. 7, 2024, https://doi.org/10.3390/biomimetics9070392.Search in Google Scholar PubMed PubMed Central
[56] R. Gandhi, M. Salmi, B. Roy, L. Pauli, L. Pagliari, and F. Concli, “Mechanical and fatigue performance of multidirectional functionally graded Ti6Al4V scaffolds produced via laser powder bed fusion for orthopedic implants,” Mater. Des., vol. 251, 2025, https://doi.org/10.1016/j.matdes.2025.113725.Search in Google Scholar
[57] X. Zhang, X. Xie, Y. Li, B. Li, S. Yan, and P. Wen, “Mechanical behavior of Al-Si10-Mg P-TPMS structure fabricated by selective laser melting and a unified mathematical model with geometrical parameter,” Materials, vol. 16, no. 2, 2023, https://doi.org/10.3390/ma16020468.Search in Google Scholar PubMed PubMed Central
[58] O. Al-Ketan, R. K. A. Al-Rub, and R. Rowshan, “Mechanical properties of a new type of architected interpenetrating phase composite materials,” Adv Mater. Technol., vol. 2, no. 2, 2017, https://doi.org/10.1002/admt.201600235.Search in Google Scholar
[59] F. Teng, Y. Sun, S. Guo, B. Gao, and G. Yu, “Topological and mechanical properties of different lattice structures based on additive manufacturing,” Micromachines (Basel), vol. 13, no. 7, 2022, https://doi.org/10.3390/mi13071017.Search in Google Scholar PubMed PubMed Central
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